From the list given to you for each of the following hypothesis testing situatio
ID: 3362753 • Letter: F
Question
From the list given to you for each of the following hypothesis testing situations, indicate the test you would use and explain the reason 1) Pearsons Product-Moment Correlation Coefficient (Test #13) 2) Spearman Rank Correlation (Test# 14) 3) Simple Linear Regression (Test# 15) 4) ANOVA (Test # 16) 5) Kruskal-Wallis (Test # 17)
1. A researcher wants to know what the relationship is between how fifteen people do in a debate tournament (first place to fifteenth place), and how they do in a drama meet (also ordered from first to last)
2. You want to predict how many push-ups students will be able to do after participating in a fitness program from the number of push-ups they could do before the program starts.
3. You want to compare the mean numbers of push-ups done by 40 children who have attended one of three different fitness camps in order to see which fitness program is better.
4. A researcher wants to test the effects of 4 treatments on Poplar tree weights. The claim at the 5% significance level is that all four of the treatments produce the same median weight for poplar trees grown from seedlings. The hypotheses are: Ho: M1 = M2 = M3 = M4 Ha: At least two medians differ from each other
Explanation / Answer
1) In this case, the researcher should you Spearman's rank correlation because the main purpose here is to deal with two sets of ranks in two different tests and this matches exactly with the case of Spearman's Rank Correlation.
2) In this case, thresearcher should use linear regression because he wants to predict one set of data on the basis of another set of data.
3) The researcher should clearly use ANOVA test here. First, he should find if joining different camp is significant or not. Then, if significant, then find which pairs are significant.
4) Clearly, the researcher should use Kruskal-Willies test. Because a non-parametric test should be applied here and Kruskal-Willies test matches the purpose most.
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